Search a number
-
+
2085928020 = 22325111139323
BaseRepresentation
bin111110001010100…
…1011110001010100
312101101001010022100
41330111023301110
513232444144040
6542552402100
7102456044541
oct17425136124
95341033270
102085928020
119804a7660
124a26a6330
13273201a47
1415b065bc8
15c31d7b30
hex7c54bc54

2085928020 has 144 divisors (see below), whose sum is σ = 6964356672. Its totient is φ = 501150720.

The previous prime is 2085928003. The next prime is 2085928051. The reversal of 2085928020 is 208295802.

It is a super-2 number, since 2×20859280202 = 8702191409242240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219079 + ... + 228401.

It is an arithmetic number, because the mean of its divisors is an integer number (48363588).

Almost surely, 22085928020 is an apocalyptic number.

2085928020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085928020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482178336).

2085928020 is an abundant number, since it is smaller than the sum of its proper divisors (4878428652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2085928020 is a wasteful number, since it uses less digits than its factorization.

2085928020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9462 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2085928020 is about 45671.9609826423. The cubic root of 2085928020 is about 1277.7123894509.

It can be divided in two parts, 208592 and 8020, that added together give a palindrome (216612).

The spelling of 2085928020 in words is "two billion, eighty-five million, nine hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 990 1017 1130 1243 1356 1695 1980 2034 2260 2486 3390 3729 4068 4972 5085 6215 6780 7458 9323 10170 11187 12430 14916 18645 18646 20340 22374 24860 27969 37290 37292 44748 46615 55935 55938 74580 83907 93230 102553 111870 111876 139845 167814 186460 205106 223740 279690 307659 335628 410212 419535 512765 559380 615318 839070 922977 1025530 1053499 1230636 1538295 1678140 1845954 2051060 2106998 3076590 3160497 3691908 4213996 4614885 5267495 6153180 6320994 9229770 9481491 10534990 11588489 12641988 15802485 18459540 18962982 21069980 23176978 31604970 34765467 37925964 46353956 47407455 57942445 63209940 69530934 94814910 104296401 115884890 139061868 173827335 189629820 208592802 231769780 347654670 417185604 521482005 695309340 1042964010 2085928020